Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Log inSign up
Challenges
Datasets
Workspaces
Papers
Discussions
Leaderboard
Blog
Job Board
Q3AS

© 2026 Aqora Quantum S.A.S.

TermsPrivacyLegal Notice

Journal of Physics A Mathematical and Theoretical

Quantum-like information processing using vector solitons

Andrzej Janutka

Published Aug 11, 2008• 7 citations
Publisher

Abstract

The concept of simulating the quantum logic via collisions of vector solitons (Janutka 2006 J. Phys. A: Math. Gen. 39 12505 , 2007 J. Phys. A: Math. Theor. 40 10813 ) is developed in the direction of designing a true quantum-information processor that is based on mesoscopic objects, solitons. In this concept, quantum-like information is encoded in the vector-soliton (polarization) parameters. An exponential increase of the logical-operating speed compared to that achievable in the earlier simulation schemes is found to be possible due to a coherent conversion of a 2 n -component vector soliton that carries an n -cebit of information into an ensemble of 2 n −1 two-component and 2 n −2 four-component vector pulses. Two solid-state circuits (transmitting magnetic solitons or fluxons of long Josephson junctions) which enable such a pulse conversion are proposed.

DOI
10.1088/1751-8113/41/37/375202

Related papers

Error of quantum-logic simulation via vector-soliton collisions

Andrzej Janutka

In a concept of simulating the quantum logic with vector solitons by the author (Janutka 2006 J. Phys. A: Math. Gen. 39 12505 ), the soliton polarization is thought of as a state vector of a system of cebits (classical counterparts of qubits) switched via collisions with other solitons. The advantage of this method of information processing compared to schemes using linear optics is the possibility of the determination of the information-register state in a single measurement. Minimization of the information-processing error for different optical realizations of the logical systems is studied in the framework of a quantum analysis of soliton fluctuations. The problem is considered with relevance to general difficulties of the quantum error-correction schemes for the classical analogies of the quantum-information processing.

Journal of Physics A Mathematical and Theoretical•Aug 14, 2007•6 citations

Quantum information processing with spin-orbit laser modes

Antonio Zelaquett Khoury, C. E. R. Souza, Allan R. Vieira +1 more

Optical vortices are employed for quantum information encoding, where the wave front structure combined to the polarization vector of an optical beam can be regarded as a spin-orbit realization of a two-qubit system. We will discuss quantum information protocols that can be implemented in these degrees of freedom.

Proceedings of SPIE, the International Society for Optical Engineering/Proceedings of SPIE•Sep 26, 2013•2 citations

Quantum computation by quantum-like systems

Man'ko, M A, Man'ko, V I, R. Vilela Mendes

Using a quantumlike description for light propagation in nonhomogeneous optical fibers, quantum information processing can be implemented by optical means. Quantum-like bits (qulbits) are associated to light modes in the optical fiber and quantum gates to segments of the fiber providing an unitary transformation of the mode structure along a space direction. Simulation of nonlinear quantum effects is also discussed.

•Apr 4, 2001•32 citations

Two Circuits for Directing and Controlling Ballistic Fluxons

Rupert Lewis, Michael P. Frank

Reversible logic schemes using flux solitons (fluxons) on long Josephson junctions (LJJs) have recently been proposed. The attraction of the fluxon is that it propagates ballistically along an LJJ until it encounters a change in the character of the LJJ, often a designed circuit element. Logic gates involve fluxons interacting with circuit elements and with other fluxons. However, testing of ballistic fluxon circuits requires other circuits outside the logic family to direct and control fluxon motion. We discuss two suchnon-reversiblefluxon control circuits. First, thepolarity filter gateis a simple non-reversible gate that allows one polarity of fluxon to pass, while reflecting the other polarity. In theoffstate both polarities reflect. Second, the polarity separator generalizes on the polarity filter concept and allows separation of the two fluxon polarities into different LJJs. We discuss simulations of these structures and possible applications.

IEEE Transactions on Applied Superconductivity•Feb 14, 2023•2 citations

Nano-Electronic Realizations Of Quantum Bits

Yuriy Makhlin, Gerd Schön, Alexander Shnirman

INTRODUCTION Quantum computers, if available, could perform certain operations in a massive parallel way, which would lead to an exponential speed-up as compared to the performance of classical computers. Furthermore, mediumsize quantum information processing devices could be used in a number of applications such as, for instance, quantum communication and quantum cryptography. Several physical realizations of quantum bits, i.e. the elementary building blocks of quantum computers, have been proposed. The best studied ones are trapped ions, NMR in the liquid state and cavity QED. Here we discuss solid-state nano-electronic realizations. They appear promising since they can be scaled up to large numbers of qubits and are most easily Yu. Makhlin, G. Schon, and A. Shnirman embedded in electronic circuits. Josephson junction circuits are particularly suitable for quantum information processing, since they combine the intrinsic coherence of the superconducting state

•Jan 1, 1999•16 citations

Simulation of quantum logic via collisions of vector solitons

Andrzej Janutka

The polarization of a multi-component vector soliton (of the Manakov type) can be thought of as a state vector of a system of qubits (a register of quantum information). A change of this state on demand via colliding the register pulse with other solitons is shown to be possible with arbitrary accuracy. The parameters (polarization, pulse width, velocity) of the register-switching solitons corresponding to the computationally universal set of quantum gates are found. Physical realizations of information processing using effects of the self-focusing of optical media or of the self-induced transparency are considered.

Journal of Physics A Mathematical and General•Sep 19, 2006•13 citations
The concept of simulating the quantum logic via collisions of vector solitons (Janutka 2006 J. Phys. A: Math. Gen. 39 12505 , 2007 J. Phys. A: Math. Theor. 40 10813 ) is developed in the direction of designing a true quantum-information processor that is based on mesoscopic objects, solitons. In this concept, quantum-like information is encoded in the vector-soliton (polarization) parameters. An exponential increase of the logical-operating speed compared to that achievable in the earlier simulation schemes is found to be possible due to a coherent conversion of a 2 n -component vector soliton that carries an n -cebit of information into an ensemble of 2 n −1 two-component and 2 n −2 four-component vector pulses. Two solid-state circuits (transmitting magnetic solitons or fluxons of long Josephson junctions) which enable such a pulse conversion are proposed.
In a concept of simulating the quantum logic with vector solitons by the author (Janutka 2006 J. Phys. A: Math. Gen. 39 12505 ), the soliton polarization is thought of as a state vector of a system of cebits (classical counterparts of qubits) switched via collisions with other solitons. The advantage of this method of information processing compared to schemes using linear optics is the possibility of the determination of the information-register state in a single measurement. Minimization of the information-processing error for different optical realizations of the logical systems is studied in the framework of a quantum analysis of soliton fluctuations. The problem is considered with relevance to general difficulties of the quantum error-correction schemes for the classical analogies of the quantum-information processing.
Reversible logic schemes using flux solitons (fluxons) on long Josephson junctions (LJJs) have recently been proposed. The attraction of the fluxon is that it propagates ballistically along an LJJ until it encounters a change in the character of the LJJ, often a designed circuit element. Logic gates involve fluxons interacting with circuit elements and with other fluxons. However, testing of ballistic fluxon circuits requires other circuits outside the logic family to direct and control fluxon motion. We discuss two suchnon-reversiblefluxon control circuits. First, thepolarity filter gateis a simple non-reversible gate that allows one polarity of fluxon to pass, while reflecting the other polarity. In theoffstate both polarities reflect. Second, the polarity separator generalizes on the polarity filter concept and allows separation of the two fluxon polarities into different LJJs. We discuss simulations of these structures and possible applications.
INTRODUCTION Quantum computers, if available, could perform certain operations in a massive parallel way, which would lead to an exponential speed-up as compared to the performance of classical computers. Furthermore, mediumsize quantum information processing devices could be used in a number of applications such as, for instance, quantum communication and quantum cryptography. Several physical realizations of quantum bits, i.e. the elementary building blocks of quantum computers, have been proposed. The best studied ones are trapped ions, NMR in the liquid state and cavity QED. Here we discuss solid-state nano-electronic realizations. They appear promising since they can be scaled up to large numbers of qubits and are most easily Yu. Makhlin, G. Schon, and A. Shnirman embedded in electronic circuits. Josephson junction circuits are particularly suitable for quantum information processing, since they combine the intrinsic coherence of the superconducting state
The polarization of a multi-component vector soliton (of the Manakov type) can be thought of as a state vector of a system of qubits (a register of quantum information). A change of this state on demand via colliding the register pulse with other solitons is shown to be possible with arbitrary accuracy. The parameters (polarization, pulse width, velocity) of the register-switching solitons corresponding to the computationally universal set of quantum gates are found. Physical realizations of information processing using effects of the self-focusing of optical media or of the self-induced transparency are considered.